Momentum of a Ball tossd in the air.

AI Thread Summary
A ball thrown upwards with 10 units of momentum results in an equal and opposite momentum of 10 units for the Earth, demonstrating the conservation of momentum principle. The equation m1 x Δv1 = -m2 x Δv2 supports this concept, indicating that the Earth's recoil occurs in the opposite direction to the ball's motion. The conclusion drawn is that the statement about the Earth's recoil is true. The participant confirmed their understanding and received a correct grade on the assignment. This discussion emphasizes the importance of momentum conservation in physics.
Hannah1
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Homework Statement


A ball was thrown up from the ground with 10 units of momentum. The momentum of the recoil of the Earth is also 10 units of momentum. This means that the Earth recoils with a certain velocity in the opposite direction to the ball.

True or False?

Homework Equations


Momentum Conservation Principle


The Attempt at a Solution


I believe the answer is True because:
m1 x Δv1 = -m2 x Δv2

Am I correct?
 
Physics news on Phys.org
yes :smile:
 
tiny-tim said:
yes :smile:

Thank you! I submitted the assignment, and it was the correct answer!
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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